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4\left(x-3\right)-x+2=1\left(x+4\right)
Multiply both sides of the equation by 2.
4x-12-x+2=1\left(x+4\right)
Use the distributive property to multiply 4 by x-3.
4x-10-x=1\left(x+4\right)
Add -12 and 2 to get -10.
4x-10-x=x+4
Use the distributive property to multiply 1 by x+4.
4x-10-x-x=4
Subtract x from both sides.
3x-10-x=4
Combine 4x and -x to get 3x.
3x-x=4+10
Add 10 to both sides.
3x-x=14
Add 4 and 10 to get 14.
2x=14
Combine 3x and -x to get 2x.
x=\frac{14}{2}
Divide both sides by 2.
x=7
Divide 14 by 2 to get 7.